Skip to main content
Log in

Non-commutative spaces with transitive translation groups

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

Abstract

Let G be a finite group. The problem of finding all strongly skewaffine spaces with transitive translation group isomorphic to G will be reduced to the determination of all Schur rings over G.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. André, J., ‘Uber Parallelstrukturen I, II’, Math. Z. 76 (1961), 85–102, 155–163.

    Google Scholar 

  2. André, J., ‘Über schiefaffine Räume der Ordnung 2’, Res. Math. 12 (1987), 241–251.

    Google Scholar 

  3. André, J., ‘Endliche nichtkommutative Geometrie’. Vorlesungsausarbeitung, ausgearbeitet von D. Brühl, Ann. Univ. Sarav., Ser. Math. 2 (1988), 1–136.

    Google Scholar 

  4. Aschbacher, M., ‘Chromatic geometry’, Quart. J. Math. Oxford 38 (1987), 277–296.

    Google Scholar 

  5. Bannai, E. and Ito, T., Algebraic Combinatorics I, Association Schemes, Benjamin, 1984.

  6. Geisert, U., ‘Über Normalreihen schiefaffiner Räume’. Ann. Univ. Sarrav., Ser. Math. 3 (1990), 1–37.

    Google Scholar 

  7. Huppert, B., Endliche Gruppen I, Springer Verlag, Berlin, Heidelberg, New York, 1967.

    Google Scholar 

  8. Pfalzgraf, J., ‘On a model for non-commutative geometry’, J. Geom. 25 (1985), 147–163.

    Google Scholar 

  9. Pfalzgraf, J., ‘Eine Beschreibung geometrischer Räume als gefaserte Strukturen’, Res. Math. 12 (1987), 172–190.

    Google Scholar 

  10. Tamaschke, O., ‘Zur Theorie der Permutationsgruppen mit regulärer Untergruppe I, II’. Math. Z. 80 (1963), 328–354, 443–465.

    Google Scholar 

  11. Tamaschke, O., Schur-Ringe, BI, Mannheim, 1970.

    Google Scholar 

  12. Wielandt, H., Finite Permutation Groups, Academic Press, 1964.

  13. Zassenhaus, H., Lehrbuch der Gruppentheorie I, Teubner, Leipzig, Berlin, 1937.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Helmut Salzmann on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

André, J. Non-commutative spaces with transitive translation groups. Geom Dedicata 36, 125–137 (1990). https://doi.org/10.1007/BF00150783

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00150783

Keywords

Navigation